45560698056720 has 2560 divisors, whose sum is σ = 215492493312000. Its totient is φ = 8555467898880.

The previous prime is 45560698056649. The next prime is 45560698056721. The reversal of 45560698056720 is 2765089606554.

It is a happy number.

45560698056720 is a `hidden beast` number, since 4 + 5 + 5 + 6 + 0 + 69 + 8 + 0 + 567 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45560698056721) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 15825180241 + ... + 15825183119.

It is an arithmetic number, because the mean of its divisors is an integer number (84176755200).

Almost surely, 2^{45560698056720} is an apocalyptic number.

45560698056720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45560698056720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107746246656000).

45560698056720 is an abundant number, since it is smaller than the sum of its proper divisors (169931795255280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45560698056720 is a wasteful number, since it uses less digits than its factorization.

45560698056720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 45560698056720 in words is "forty-five trillion, five hundred sixty billion, six hundred ninety-eight million, fifty-six thousand, seven hundred twenty".